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Finding the Fourth Proportional to 3,546.90, 5,321.31 and 3,488.19

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Solution

The fourth proportional to 3,546.90, 5,321.31 and 3,488.19 is: 5,233.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.90 : 5,321.31 = 3,488.19 : x
  2. Step 2: Convert to fraction form
    3,546.90/5,321.31 = 3,488.19/x
  3. Step 3: Cross multiply
    3,546.90x = 5,321.31 × 3,488.19
  4. Step 4: Simplify right side
    3,546.90x = 18,561,740.33
  5. Step 5: Solve for x
    x = 18,561,740.33/3,546.90
  6. Step 6: Final answer
    x = 5,233.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.